2 citations · 4 across the 9 of their papers we have counts for
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A rigidity result for proper holomorphic maps between balls
Edgar Gevorgyan, Haoran Wang, Andrew Zimmer
In this note, we prove a rigidity result for proper holomorphic maps between unit balls that have many symmetries and which extend to -smooth maps on the boundary.
Hankel operators on domains with bounded intrinsic geometry
Andrew Zimmer
In this paper we consider Hankel operators on domains with bounded intrinsic geometry. For these domains we characterize the -symbols where the associated Hankel operator is c…
Compactness of the -Neumann problem on domains with bounded intrinsic geometry
Andrew Zimmer
By considering intrinsic geometric conditions, we introduce a new class of domains in complex Euclidean space. This class is invariant under biholomorphism and includes strongly ps…
Kobayashi hyperbolic convex domains not biholomorphic to bounded convex domains
Andrew Zimmer
We construct families of convex domains that are biholomorphic to bounded domains, but not bounded convex domains. This is accomplished by finding an obstruction related to the Gro…
A lower bound for the Kähler-Einstein distance from the Diederich-Fornæss index
Andrew Zimmer
In this note we establish a lower bound for the distance induced by the Kähler-Einstein metric on pseudoconvex domains with positive hyperconvexity index (e.g. positive Diederich-F…
Smoothly bounded domains covering compact manifolds
Andrew Zimmer
We show that if a bounded domain in complex Euclidean space with boundary covers a compact manifold, then the domain is biholomorphic to the unit ball.